Dynamics of solitons in ultracold Bose gases with tunable interactions

We review our recent theoretical advances in the dynamics of soliton in ultracold atomic gases with different types of interactions, including spin−orbit coupling and nonlocal Rydberg interactions. By using the variational approximation and the numerical simulation of coupled Gross−Pitaevskii equations, the stability and dynamics of soliton are investigated in full parameter space. Both the analytical and numerical results show that the stability and dynamics of solitons, including both bright and ring dark solitons, show strong dependence on the strength of spin−orbit coupling or the Rydberg interaction. Our results open up alternate ways in the quantum control of soliton in ultracold atom system.